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Finding the Fourth Proportional to 15,076.81, 20,792.38 and 9,412.08

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Solution

The fourth proportional to 15,076.81, 20,792.38 and 9,412.08 is: 12,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.81 : 20,792.38 = 9,412.08 : x
  2. Step 2: Convert to fraction form
    15,076.81/20,792.38 = 9,412.08/x
  3. Step 3: Cross multiply
    15,076.81x = 20,792.38 × 9,412.08
  4. Step 4: Simplify right side
    15,076.81x = 195,699,577.05
  5. Step 5: Solve for x
    x = 195,699,577.05/15,076.81
  6. Step 6: Final answer
    x = 12,980.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.